ISBN: 9789048148752

This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and con… Meer...

This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional analysis and partial differential equations are applied to the classical problem of numerical integration, to establish many important and deep analytical properties of cubature formulas. The prerequisites of the theory of many-dimensional discrete function spaces and the theory of finite differences are concisely presented. Special attention is paid to constructing and studying the optimal cubature formulas in Sobolev spaces. As an asymptotically optimal sequence of cubature formulas, a many-dimensional abstraction of the Gregory quadrature is indicated. Audience:This book is intended for researchers having a basic knowledge of functional analysis who are interested in the applications of modern theoretical methods to numerical mathematics. | The Theory of Cubature Formulas by S. L. Sobolev Paperback | Indigo Chapters Books > Science & Nature > Math & Physics > Mathematics P10117, S.L. Sobolev<

2011, ISBN: 9789048148752

gebonden uitgave

[ED: Taschenbuch], [PU: Springer Netherland], This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to a… Meer...

[ED: Taschenbuch], [PU: Springer Netherland], This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional analysis and partial differential equations are applied to the classical problem of numerical integration, to establish many important and deep analytical properties of cubature formulas. The prerequisites of the theory of many-dimensional discrete function spaces and the theory of finite differences are concisely presented. Special attention is paid to constructing and studying the optimal cubature formulas in Sobolev spaces. As an asymptotically optimal sequence of cubature formulas, a..., DE, [SC: 0.00], Neuware, gewerbliches Angebot, 444, [GW: 668g], Softcover reprint of hardcover 1st ed. 1997, Banküberweisung, PayPal, [CT: Sonstiges / Sonstiges]<

2011, ISBN: 9789048148752

gewerbliches Angebot, [SC: 0.00], Neuware, [PU: Springer], 444, [GW: 668g], [ED: Taschenbuch], DE, This volume considers various methods for constructing cubature and quadrature formulas … Meer...

gewerbliches Angebot, [SC: 0.00], Neuware, [PU: Springer], 444, [GW: 668g], [ED: Taschenbuch], DE, This volume considers various methods for constructing cubature and quadrature formulas of arbitrary degree. These formulas are intended to approximate the calculation of multiple and conventional integrals over a bounded domain of integration. The latter is assumed to have a piecewise-smooth boundary and to be arbitrary in other aspects. Particular emphasis is placed on invariant cubature formulas and those for a cube, a simplex, and other polyhedra. Here, the techniques of functional analysis and partial differential equations are applied to the classical problem of numerical integration, to establish many important and deep analytical properties of cubature formulas. The prerequisites of the theory of many-dimensional discrete function spaces and the theory of finite differences are concisely presented. Special attention is paid to constructing and studying the optimal cubature formulas in Sobolev spaces. As an asymptotically optimal sequence of cubature formulas, a..., Banküberweisung, PayPal, [CT: Sonstiges / Sonstiges]<

2011, ISBN: 9789048148752

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1997, 444 Seiten, Publiziert: 2011-02-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1 black & white illustratio… Meer...

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1997, 444 Seiten, Publiziert: 2011-02-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1 black & white illustrations, biography, 1.35 kg, Statistik, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Naturwissenschaften & Technik, Englische Bücher, 7c9a6c79-19ea-4dea-90da-d7d47042d341_2301, 7c9a6c79-19ea-4dea-90da-d7d47042d341_0, Arborist Merchandising Root, Fremdsprachige Bücher, acc906d0-2585-4921-a56f-3ff277850936_4901, acc906d0-2585-4921-a56f-3ff277850936_0, Special Features Stores, Taschenbücher, acc906d0-2585-4921-a56f-3ff277850936_4201, Springer, 2011<

2011, ISBN: 9789048148752

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1997, 444 Seiten, Publiziert: 2011-02-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1 black & white illustratio… Meer...

Springer, Taschenbuch, Auflage: Softcover reprint of hardcover 1st ed. 1997, 444 Seiten, Publiziert: 2011-02-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: 1 black & white illustrations, biography, 0.62 kg, Statistik, Naturwissenschaft & Mathematik, Fachbücher, Kategorien, Bücher, Ingenieurwissenschaft & Technik, Naturwissenschaften & Technik, Taschenbücher, Fremdsprachige Bücher, Featured Categories, Englische Bücher, 7c9a6c79-19ea-4dea-90da-d7d47042d341_2301, 7c9a6c79-19ea-4dea-90da-d7d47042d341_0, Arborist Merchandising Root, Springer, 2011<